prove trigonometric identity. tan theta+1/tan theta=sec theta× cosec theta
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Answer:
Now,
secθ+1
tanθ
+
cosecθ+1
cotθ
=
sec
2
θ−1
tanθ(secθ−1)
+
cosec
2
θ−1
cotθ(cosecθ−1)
=
tanθ
(secθ−1)
+
cotθ
(cosecθ−1)
=cosecθ−cotθ+secθ−tanθ
=cosecθ+secθ−tanθ−cotθ
=cosecθ+secθ−(
cotθ
cot
2
θ+1
)
=cosecθ+secθ−(
cotθ
cosec
2
θ
)
=cosecθ+secθ−cosecθ.secθ
Step-by-step explanation:
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